Question

Given the points (0,5) and (5,9) and on a line, find its equation in the form y=mx+b.

Answer 1

Given

two points on a line (0,5) and (5,9)

Find

Equation of the line

Step-by-step explanation

Equation of a line in standard form is

y - y1 = m(x - x1)

`m=(y2-y1)/(x2-x1)=(9-5)/(5-0)=(4)/(5)`

Putting the values in the equation

`\begin{gathered} (y-5)=(4)/(5)(x-0) \\ y-5=(4x)/(5) \\ y=(4)/(5)x+5 \end{gathered}`

Final Answer

`y=(4)/(5)x+5`